Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces

被引：0

作者：

Aharouch, L. ^{[1
]}

Benkirane, A. ^{[2
]}

Bennouna, J. ^{[2
]}

Touzani, A. ^{[2
]}

机构：

[1] Fac Polydisciplinaire Ouarzazate, BP 638, Ouarzazate, Morocco

[2] Dept Math & Informat, Fac Sci, Atlas Fes, Morocco

来源：

RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS | 2010年

关键词：

Orlicz Sobolev spaces; Weighted Sobolev spaces; Renormalized solution; Entropy solution; Weak solution; Boundary value problems; ELLIPTIC PROBLEMS;

D O I：

10.1142/9789814295574_0012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show, in the framework of Orlicz Sobolev spaces, the existence of renormalized and entropy solutions of some nonlinear equations and the existence and uniqueness of a unilateral problem. The existence of weak and renormalized solution of a nonlinear equation is also presented in the framework of weighted Sobolev spaces.

引用

页码：170 / +

页数：3

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